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mote1985 [20]
3 years ago
8

Three consecutive even integers add up to -6 what are they?

Mathematics
1 answer:
DanielleElmas [232]3 years ago
7 0

Answer:

I think this is the answer

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Solve the quadratic equation 4x2 − 121 = 0. Verify your answer using a difference-of-squares factoring method.
Alenkasestr [34]

Answer:

Option d) is correct

That is x equals plus or minus start fraction 11 over two end fraction

Step-by-step explanation:

Given quadratic equation is 4x^2-121=0

To write the given quadratic equation by using a difference-of-squares factoring method:

4x^2-121=0

The above equation can be written as

4x^2-11^2=0

(2x)^2-11^2=0

The above equation is in the form of difference-of-squares

Therefore the given quadratic equation can be written in the form of difference-of-squares

by factoring method is (2x)^2-11^2=0

(2x+11)(2x-11)=0 (which is in the form a^2-b^2=(a+b)(a-b) )

2x+11=0   or   2x-11=0

x=\frac{-11}{2}    or   2x=11

x=\frac{-11}{2}    or   x=\frac{11}{2}

x=\pm \frac{11}{2}

Therefore option d) is correct

That is x equals plus or minus start fraction 11 over two end fraction

5 0
3 years ago
Find the equation of the line passing through the points (6,3) and (-4,3)<br> Y=
Molodets [167]

{ \qquad\qquad\huge\underline{{\sf Answer}}}

Equation of line passing through given points :

Let's proceed with two point form ~

\qquad \sf  \dashrightarrow \: y - y1 =  \cfrac{y2 - y1}{x2 - x1} (x - x1)

Assume :

\qquad \sf  \dashrightarrow \: y - 3=  \cfrac{3 - 3}{ - 4 - 6} (x - 6)

\qquad \sf  \dashrightarrow \: y - 3=  \cfrac{0}{ - 10} (x - 6)

\qquad \sf  \dashrightarrow \: y - 3 = 0

\qquad \sf  \dashrightarrow \: y = 3

So, the equation of required line is : y = 3 ~

5 0
1 year ago
Right angle trigonometry
Nady [450]

Answer:

B

Step-by-step explanation:

Given

sinΘ = \frac{1}{\sqrt{2} }, then

Θ = sin^{-1}( \frac{1}{\sqrt{2} } ) = 45° → B

7 0
3 years ago
Write an explicit formula for an,the Nth term of the sequence 4,12,36
Rudik [331]

Answer:

3^{n}+3^{n-1}

Step-by-step explanation:

Since the sequence is geometric (it multiplies the previous number each time). The nth term sequence would be x^n + yn

Because the sequence multiplies by 3 each time, The base number in that equation would be 3^n +yn.

So 3^n of the equation would be:
3, 9, 27.

Compare the 2 equations:
4, 12, 36

3, 9 ,27

The difference between the 2 equations is: 1, 3, 9 which itself is a geometric sequence so the nth term of this new equation is: 3^{n-1}.

Combine these 2 equations together and you get:

3^{n}+3^{n-1}.

6 0
2 years ago
What is Statistical inference?
rjkz [21]

Answer:

<em>Definition 1: The theory, methods, and practice of forming judgments about the parameters of a population and the reliability of statistical relationships, typically on the basis of random sampling.</em>

<em>Definition 2: The use of randomization in sampling allows for the analysis of results using the methods of statistical inference. Statistical inference is based on the laws of probability, and allows analysts to infer conclusions about a given population based on results observed through random sampling. Two of the key terms in statistical inference are parameter and statistic.</em>

Step-by-step explanation:

Hope this helps, have a good day. c;

4 0
3 years ago
Read 2 more answers
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